*Is the following Boolean expression satisfiable? Justify your answer.*

Dividing the expression into its sub-expression components:

(2)To be satisfiable, $x_1$ must be true, otherwise (2) is false and its AND would falsify the entire expression.

If $x_1$ is true, then $x_3$ must be true to make (6) true, because $x_1$ being true makes (5) false, and (6) must be true for the ((5) OR (6)) sub-expression to be true.

Given that $x_3$ must be true, $x_2$ must be false, or (4) would be false, rendering the entire expression false.

Having established that $x_3$ must be true for the entire expression to be true, (3) will be true when $x_3$ is true.

Therefore the above expression is satisfiable.